A Two-Step Model-Based Reconstruction and Imaging Method for Baseline-Free Lamb Wave Inspection

Traditional Lamb wave inspection and imaging methods heavily rely on prior knowledge of dispersion curves and baseline recordings, which may not be feasible in the majority of real cases due to production uncertainties and environmental variations. In order to solve this problem, a two-step Lamb wav...

Full description

Bibliographic Details
Main Authors: Hang Fan, Fei Gao, Wenhao Li, Kun Zhang
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/6/1171
_version_ 1797592604594929664
author Hang Fan
Fei Gao
Wenhao Li
Kun Zhang
author_facet Hang Fan
Fei Gao
Wenhao Li
Kun Zhang
author_sort Hang Fan
collection DOAJ
description Traditional Lamb wave inspection and imaging methods heavily rely on prior knowledge of dispersion curves and baseline recordings, which may not be feasible in the majority of real cases due to production uncertainties and environmental variations. In order to solve this problem, a two-step Lamb wave strategy utilizing adaptive multiple signal classification (MUSIC) and sparse reconstruction of dispersion reconstruction is proposed. The multimodal Lamb waves are initially reconstructed in the <i>f-k</i> domain using random measurements, allowing for the identification and characterization of multimodal Lamb waves. Then, using local polynomial expansion and derivation, the phase and group velocities for each Lamb wave mode could be computed. Thus, the steering vectors of all potential scattering Lamb waves for each grid in the scanning area can be established, thereby allowing for the formulation of the MUSIC algorithm. To increase the precision and adaptability of the MUSIC method, the local wave components resulting from potential scatters are extracted with an adaptive window, which is governed by the group velocities and distances of Lamb wave propagation. As a result, the reconstructed dispersion relations and windowed wave components can be used to highlight the scattering features. For the method investigation, both a simulation and experiment are carried out, and both the dispersion curves and damage locations can be detected. The results demonstrate that damage localization is possible without theoretical dispersion data and baseline recordings while exhibiting a considerable accuracy and resolution.
first_indexed 2024-03-11T01:53:33Z
format Article
id doaj.art-e0f0327edf5247009a5bd8085bc92b98
institution Directory Open Access Journal
issn 2073-8994
language English
last_indexed 2024-03-11T01:53:33Z
publishDate 2023-05-01
publisher MDPI AG
record_format Article
series Symmetry
spelling doaj.art-e0f0327edf5247009a5bd8085bc92b982023-11-18T12:50:27ZengMDPI AGSymmetry2073-89942023-05-01156117110.3390/sym15061171A Two-Step Model-Based Reconstruction and Imaging Method for Baseline-Free Lamb Wave InspectionHang Fan0Fei Gao1Wenhao Li2Kun Zhang3Science and Technology on Reactor System Design Technology Laboratory, Nuclear Power Institute of China, Chengdu 610213, ChinaSchool of Reliability and Systems Engineering, Beihang University, Xueyuan Road No. 37, Haidian District, Beijing 100191, ChinaAdvanced Manufacturing Center, Ningbo Institute of Technology, Beihang University, Ningbo 315100, ChinaScience and Technology on Reactor System Design Technology Laboratory, Nuclear Power Institute of China, Chengdu 610213, ChinaTraditional Lamb wave inspection and imaging methods heavily rely on prior knowledge of dispersion curves and baseline recordings, which may not be feasible in the majority of real cases due to production uncertainties and environmental variations. In order to solve this problem, a two-step Lamb wave strategy utilizing adaptive multiple signal classification (MUSIC) and sparse reconstruction of dispersion reconstruction is proposed. The multimodal Lamb waves are initially reconstructed in the <i>f-k</i> domain using random measurements, allowing for the identification and characterization of multimodal Lamb waves. Then, using local polynomial expansion and derivation, the phase and group velocities for each Lamb wave mode could be computed. Thus, the steering vectors of all potential scattering Lamb waves for each grid in the scanning area can be established, thereby allowing for the formulation of the MUSIC algorithm. To increase the precision and adaptability of the MUSIC method, the local wave components resulting from potential scatters are extracted with an adaptive window, which is governed by the group velocities and distances of Lamb wave propagation. As a result, the reconstructed dispersion relations and windowed wave components can be used to highlight the scattering features. For the method investigation, both a simulation and experiment are carried out, and both the dispersion curves and damage locations can be detected. The results demonstrate that damage localization is possible without theoretical dispersion data and baseline recordings while exhibiting a considerable accuracy and resolution.https://www.mdpi.com/2073-8994/15/6/1171nondestructive evaluationlamb wavessparse reconstructionadaptive multiple signal classificationdamage imaging
spellingShingle Hang Fan
Fei Gao
Wenhao Li
Kun Zhang
A Two-Step Model-Based Reconstruction and Imaging Method for Baseline-Free Lamb Wave Inspection
Symmetry
nondestructive evaluation
lamb waves
sparse reconstruction
adaptive multiple signal classification
damage imaging
title A Two-Step Model-Based Reconstruction and Imaging Method for Baseline-Free Lamb Wave Inspection
title_full A Two-Step Model-Based Reconstruction and Imaging Method for Baseline-Free Lamb Wave Inspection
title_fullStr A Two-Step Model-Based Reconstruction and Imaging Method for Baseline-Free Lamb Wave Inspection
title_full_unstemmed A Two-Step Model-Based Reconstruction and Imaging Method for Baseline-Free Lamb Wave Inspection
title_short A Two-Step Model-Based Reconstruction and Imaging Method for Baseline-Free Lamb Wave Inspection
title_sort two step model based reconstruction and imaging method for baseline free lamb wave inspection
topic nondestructive evaluation
lamb waves
sparse reconstruction
adaptive multiple signal classification
damage imaging
url https://www.mdpi.com/2073-8994/15/6/1171
work_keys_str_mv AT hangfan atwostepmodelbasedreconstructionandimagingmethodforbaselinefreelambwaveinspection
AT feigao atwostepmodelbasedreconstructionandimagingmethodforbaselinefreelambwaveinspection
AT wenhaoli atwostepmodelbasedreconstructionandimagingmethodforbaselinefreelambwaveinspection
AT kunzhang atwostepmodelbasedreconstructionandimagingmethodforbaselinefreelambwaveinspection
AT hangfan twostepmodelbasedreconstructionandimagingmethodforbaselinefreelambwaveinspection
AT feigao twostepmodelbasedreconstructionandimagingmethodforbaselinefreelambwaveinspection
AT wenhaoli twostepmodelbasedreconstructionandimagingmethodforbaselinefreelambwaveinspection
AT kunzhang twostepmodelbasedreconstructionandimagingmethodforbaselinefreelambwaveinspection